GCF of 141/10, 188/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/10, 188/242 i.e 47/1210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/10, 188/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 141/10,188/242?
Given fractions are 141/10,188/242
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 141/10,188/242, numerators are 141,188
Denominators are 10,242
The GCF of 141,188 is 47 .
LCM of 10,242 is 1210.
The greatest common factor of 141/10,188/242 = [GCF of 141,188]/[LCM of 10,242]= 47/1210
Therefore, the GCF of 141/10,188/242 is 47/1210.
To find the highest common factor of 141,188, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 188 are 1, 2, 4, 47, 94, 188
The HCF of 141,188 is 47.
Lets's calculate GCF of 141,188
| 47 | 141, 188 |
| 3, 4 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 141,188 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 188
:1,2,4,47,94,188
Greatest Common Factor
We found the factors 141,188 . The biggest common factor number is the GCF number.
So the greatest common factor 141,188 is 47.
Lets's calculate LCM of 10,242
| 2 | 10, 242 |
| 5, 121 |
∴ So the LCM of the given numbers is 2 x 5 x 121 = 1210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1210
Therefore, the GCF of Fractions 141/10,188/242 is 47/1210
Least Common Multiple of 10,242 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 10,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,242) x common factors =2 x 1 = 2
LCM(10,242) = ( 10 × 242 ) / 2
LCM(10,242) = 2420 / 2
LCM(10,242) = 1210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 141/10, 188/242
1. What is the HCF of 141,188?
The HCF of 141,188 is 47
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 141/10, 188/242?
Answer: GCF of Numerators as per given numbers 141/10, 188/242 is
GCF of Numerators i.e. for 141,188 is 47
LCM of denominators i.e. for 10,242 is 1210.
Thus, GCF of Fractions is 47/1210.Finally, GCF of Fractions for 141/10, 188/242 is 47/1210.